It is given that d is the midpoint of ab and e is the midpoint of ac. to prove that de is half the length of bc, the distance formula, d = , can be used to determine the lengths of the two segments. the length of bc can be determined with the equation bc = , which simplifies to 2a. the length of de can be determined with the equation de = , which simplifies to therefore, bc is twice de, and de is half bc.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

if i put something wrong your not gonna like it so rather not say nothing.